This is for adding and subtracting polynomials, word problems. I have real difficulty with word problems in math, so please help me!

Answer:

Consider the form

x

2

+

b

x

+

c

x2+bx+c

. Find a pair of integers whose product is

c

c

and whose sum is

b

b

. In this case, whose product is

−

24

-24

and whose sum is

−

10

-10

.

−

12

,

2

-12,2

Write the factored form using these integers.

(

x

−

12

)

(

x

+

2

)

(x-12)(x+2)

Answer:

[tex]f(x)=x+5x^{2} -1[/tex]

Answer:

15.2%

Step-by-step explanation:

The total number of marbles in the jar is:

5 + 4 + 3 = 12 marbles

The jar contains 5 red, 4 blue, and 3 yellow marbles.

The probability of pulling a red marble is 5/12

There are now 11 marbles in the jar.

The probability of pulling a blue marble is 4/11

Therefore, the probability of pulling a red marble, then, pulling a blue marble, without  replacement is:

5/12 * 4/11 = 5/33

Converting to percentage:

5/33 * 100 = 15.2%

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

Answer:

A(3,11)

Step-by-step explanation:

[tex]y = 2x + 5[/tex]

[tex]2×3 = 6[/tex]

[tex]6 + 5 = 11[/tex]

Answer:

D

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

learn more about inequalities here :

https://brainly.com/question/30228778

#SPJ2

Answer:

[tex]105.625\pi cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]

Answer in terms of [tex]\pi[/tex]

[tex]105.625\pi cm^3[/tex]

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

Answer:

(0,1)

Step-by-step explanation:

The final statement is: The property of distribution is used in the given expression.

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: (x + y)(2 + z) = 2(x +y) + z(x + y)

Clearly 2 and z get distributed over (x+y)

We usually use the distributive property because the two terms inside the parentheses can’t be added because they’re not like terms

Thus this is the distributive property of multiplication.

Hence, Distributive property is the correct option.

Learn more about distributive property here:

https://brainly.com/question/5637942

#SPJ2

i would  C because it the lights didnt bend

it went through

Answer:

1) 250°, 2) 44°

Step-by-step explanation:

1) See attached

If we add a line ⊥ to both AB and DE, we can find x as a sum of 2 internal angles of right triangles and 180°

∠D internal = 360°-312°=48°

x=180°+(90°-62°)+(90°-48°)= 180°+28°+42°= 250°

x=250°

2)

∠ADC= ∠ABC= 180°- ∠ADE= 180°- 110°= 70°

∠DBC= ∠ABC- ∠ABD= 70°-26°= 44°

∠DBC= 44°

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

Answer:

4 large and 5 small

Step-by-step explanation:

$1.50×4= $6.00

$0.90×5= $4.50

$6.00+$4.50= $10.50

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

Answer:

(- 32, - 16 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )

Answer:

25p

Step-by-step explanation:

IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!

Answer:

Hi...

The correct ans is 25 p

Hope this helps.....

Pls mark my ans as brainliest....

Sry dude the calculations r longggggggggggg

Be sure to mark my ans as brainliest

Answer:

Step-by-step explanation:

multiply 52 times 90% +52

Answer:

Option B is the correct answer.

Explanation:

The image below is the correct answer.

Answer:

0.25 seconds

Step-by-step explanation:

First let's expand the function h:

[tex]h = -16(t- 1/4)^2 + 49[/tex]

[tex]h = -16(t^2 - t/2 + 1/16) + 49[/tex]

[tex]h = -16t^2 + 8t - 1 + 49[/tex]

[tex]h = -16t^2 + 8t + 48[/tex]

To find when the marshmallow reaches the maximum height, we can use the formula to find the vertex of the quadratic function, and the x-coordinate of the vertex is when we have the maximum height:

[tex]x_{vertex} = -b/2a[/tex]

In our equation, b = 8 and a = -16, so:

[tex]t_{vertex} = -8 / (-32) = 0.25\ seconds[/tex]

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B. 

Step-by-step explanation:

Answer:

V

Step-by-step explanation:

This series is a letter, followed by a number where the letter is the previous letter in the alphabet and the number is increasing by 3

Answer:

12 V 15 U 18 T 21 S 24 R 27 Q

Step-by-step explanation:

Letters going backwards, numbers increasing by 3